8n n²+n+1 We would like to prove that a →0 as n →∞o. Let an = Given e > 0 arbitrary, which of the following choices for NE Nwork? I.e. which of the following choices fo m> N⇒lan < €? Select all that apply.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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8n
n²+n+1
We would like to prove that an →0 as n →∞o.
Given e > 0 arbitrary, which of the following choices for NE Nwork? I.e. which of the following choices for NE Nare such that
n> N⇒ an < €?
Select all that apply.
Let an =
□a. N>
O b.
1
□e.
€
1
N> 2
Oc. N>-
N>
Od. NE
1
JE
8
i
15
Transcribed Image Text:8n n²+n+1 We would like to prove that an →0 as n →∞o. Given e > 0 arbitrary, which of the following choices for NE Nwork? I.e. which of the following choices for NE Nare such that n> N⇒ an < €? Select all that apply. Let an = □a. N> O b. 1 □e. € 1 N> 2 Oc. N>- N> Od. NE 1 JE 8 i 15
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